Least Common Multiple (LCM) of 106 and 81
The least common multiple (LCM) of 106 and 81 is 8586.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 106 and 81?
First, calculate the GCD of 106 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 81 = 1 remainder 25 |
| 2 | 81 ÷ 25 = 3 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 82 | 5822 |
| 15 and 144 | 720 |
| 191 and 149 | 28459 |
| 139 and 36 | 5004 |
| 120 and 190 | 2280 |